Search a number
-
+
770280 = 233572131
BaseRepresentation
bin10111100000011101000
31110010121220
42330003220
5144122110
624302040
76355500
oct2740350
91403556
10770280
114867a5
12311920
1320c7b4
14160a00
15103370
hexbc0e8

770280 has 96 divisors (see below), whose sum is σ = 2708640. Its totient is φ = 174720.

The previous prime is 770261. The next prime is 770281. The reversal of 770280 is 82077.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 770280.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 770280.

It is not an unprimeable number, because it can be changed into a prime (770281) by changing a digit.

770280 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5815 + ... + 5945.

It is an arithmetic number, because the mean of its divisors is an integer number (28215).

2770280 is an apocalyptic number.

770280 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 770280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354320).

770280 is an abundant number, since it is smaller than the sum of its proper divisors (1938360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

770280 is a wasteful number, since it uses less digits than its factorization.

770280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 770280 is about 877.6559690448. The cubic root of 770280 is about 91.6676730835.

The spelling of 770280 in words is "seven hundred seventy thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 131 140 147 168 196 210 245 262 280 294 392 393 420 490 524 588 655 735 786 840 917 980 1048 1176 1310 1470 1572 1834 1960 1965 2620 2751 2940 3144 3668 3930 4585 5240 5502 5880 6419 7336 7860 9170 11004 12838 13755 15720 18340 19257 22008 25676 27510 32095 36680 38514 51352 55020 64190 77028 96285 110040 128380 154056 192570 256760 385140 770280